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116536320 = 210345281
BaseRepresentation
bin1101111001000…
…11010000000000
322010021122210000
412330203100000
5214313130240
615321440000
72613354015
oct674432000
9263248700
10116536320
115a86650a
1233040000
131b1b3504
141169770c
15a36e430
hex6f23400

116536320 has 220 divisors, whose sum is σ = 419086404. Its totient is φ = 30965760.

The previous prime is 116536313. The next prime is 116536337. The reversal of 116536320 is 23635611.

116536320 is a `hidden beast` number, since 1 + 1 + 653 + 6 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 56070144 = 7776^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414580 + ... + 414860.

Almost surely, 2116536320 is an apocalyptic number.

116536320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209543202).

116536320 is an abundant number, since it is smaller than the sum of its proper divisors (302550084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116536320 is an equidigital number, since it uses as much as digits as its factorization.

116536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 116536320 is about 10795.1989328590. The cubic root of 116536320 is about 488.4503591318.

The spelling of 116536320 in words is "one hundred sixteen million, five hundred thirty-six thousand, three hundred twenty".